Stability cone for the retarded linear matrix differential equation
Section: Математика
Article in issue: 30 (206), 2010.
Free access
Some surface in the three-dimensional space, named a stability cone is constructed. The necessary and sufficient condition of asymptotic stability of the matrix equation x(t) + Ax(t) + Bx(t - τ) = 0 for random order matrixes which is connected with whether there are the auxiliary points which depend only on A and В matrix eigenvalues and on retardation value in a stability cone is proved. The matrixes А, В are required a joint triangulability.
retorted differential equations
\ asymptotic stability
\ stability cone
Short address: https://sciup.org/147158645
IDS: 147158645